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Finding the Fourth Proportional to 5,702, 7,868.76 and 3,218

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Solution

The fourth proportional to 5,702, 7,868.76 and 3,218 is: 4,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702 : 7,868.76 = 3,218 : x
  2. Step 2: Convert to fraction form
    5,702/7,868.76 = 3,218/x
  3. Step 3: Cross multiply
    5,702x = 7,868.76 × 3,218
  4. Step 4: Simplify right side
    5,702x = 25,321,669.68
  5. Step 5: Solve for x
    x = 25,321,669.68/5,702
  6. Step 6: Final answer
    x = 4,440.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.